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Simplifying 10w + -9 = 3w + 33 Reorder the terms: -9 + 10w = 3w + 33 Reorder the terms: -9 + 10w = 33 + 3w Solving -9 + 10w = 33 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -9 + 10w + -3w = 33 + 3w + -3w Combine like terms: 10w + -3w = 7w -9 + 7w = 33 + 3w + -3w Combine like terms: 3w + -3w = 0 -9 + 7w = 33 + 0 -9 + 7w = 33 Add '9' to each side of the equation. -9 + 9 + 7w = 33 + 9 Combine like terms: -9 + 9 = 0 0 + 7w = 33 + 9 7w = 33 + 9 Combine like terms: 33 + 9 = 42 7w = 42 Divide each side by '7'. w = 6 Simplifying w = 6
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